LCM of 605, 749, 590, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 749, 590, 870 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 605, 749, 590, 870. So, keep reading to learn more.
Given numbers are 605,749,590,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,749,590,870 is 4651986570.
Find LCM of 605,749,590,870 with Prime Factorization
| 2 | 605, 749, 590, 870 |
| 5 | 605, 749, 295, 435 |
| 121, 749, 59, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 121 x 749 x 59 x 87 = 4651986570
Therefore, the lowest common multiple of 605,749,590,870 is 4651986570.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
605 x 749 x 590 x 870 = 232599328500
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
605 : 1, 5, 11, 55, 121, 605
749 : 1, 7, 107, 749
590 : 1, 2, 5, 10, 59, 118, 295, 590
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,749,590,870, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
749:7x 107
590:2x 5x 59
870:2x 3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 232599328500/(1x50)
LCM = 232599328500/50
LCM = 4651986570
Thus, we can understand that the LCM of 605,749,590,870 is 4651986570.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 605, 749, 590, 870
1. What is the LCM of 605, 749, 590, 870?
Answer: LCM of 605, 749, 590, 870 is 4651986570.
2. How to calculate the LCM of 605, 749, 590, 870?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 605, 749, 590, 870.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.